To assess the goodness of model fit, we calculate three measures: likelihood
ratio (LR) test statistic, McFadden's R-square [1]} and
hit-rate [2]}. For the null hypothesis \(H_{0}:\beta _{2} = \ldots = \beta _{k}=0\) , the LR test statistic \(\lambda _{LR}\)  is
defined as follows:
\(\lambda _{LR} = - 2 [\ln L_{0} - \ln L_{\mathrm {fit}}] \quad \mathop \sim \limits ^{H_{0}} \quad \chi ^{2}_{k-1}\) 
